I like this guy but I dont know what to do during this current situation, should I wait it out and give it some time?

I recently approached a guy and told him that he was attractive and he smiled and told me that he appreciated the comment and I was able to give him my instagram. I later on saw him after approaching him while I was with group of friends and one of them said they noticed the guy smiling as he looked at my direction. Right now it seems like our communication is genuine. There'd be times when he hearts my messages and leave it like that or would heart it then reply. Whenever he hearts it and doesn't respond, He probably likes the message cause he doesn't know what to say, but “liking” the message shows he didn’t wanna leave me on seen, but instead let me know he saw it. He also claims he's always busy, but said he'd be down to hang out if he sees me, and I see him around campus a lot now, and I was told I should say hi when I see him but I dont wanna seems pushy or desperate. What should I do? I am told to have patience with him and that it takes time. I am told guys find it attractive when females make the first move, and that was very bold of me, and he seemed to not mind it at all. The guy also seems shy and introverted just like me. I also definitely don't wanna overthink, nor make it weird.

I like this guy but I dont know what to do during this current situation, should I wait it out and give it some time?
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